Winter Quarter:
Math 140B - Real Analysis II
Math 162A - Differential Geometry I
Math 147 - Complex Analysis
Math 199B - Independent Study - Intro to Lie Group Theory
Then I got to decide to either take:
Math 199B - Prep class for the COMAP Mathematical Contest in Modeling or
Math...
Updated Fall Schedule:
Intro to Real Analysis I
Linear Algebra I
Theory of Differential Equations
Grad Algebra I
Sitting in on:
Intro to PDEs I - may or may not keep it, depending on how heavy my other classes get.
I'm retaking Analysis and Linear Algebra so I consider those non-courses with...
I guess having taken all three at different points in my life, I would say:
For the most part, Pre-Calc is mostly college-algebra and trig all packed into one, with some introduction to limits.
I personally like the idea of a full blown Trig class, simply because trig functions come up a lot...
There is one book that I am sure will fill your needs: The Mathematics of Relativity for the Rest of Us - Louis Jagerman, MD...yes MD, not PhD. Very clear, only requires, maybe some calculus. Its basically a layman's book for people that know Calc. So its not basic and it isn't a formal textbook.
Some of my TAs who are considering leaving with just their Masters are always telling me that jobs at national labs are available to math majors (with masters). There's always the applied math route, but I think any math major with some programming and/or numerical analysis experience will...
A very cheap way to go is Mendelson's "Introduction to Topology." I used it a lot last quarter to supplement another text. I am an undergrad and took undergrad topology, but we officially used a grad level book, which was to say the least...very dense. So the Mendelson book expanded on a lot of...
I had a similar experience. Lower Division math was absolute cake for me and I carried that attitude into my proof based classes. Not saying you are carrying some sort ego as well, but rather you have to learn at higher level math differently than lower div math.
You were probably a very good...
So you have not taken any abstract algebra?
I personally like Fraleigh's Intro to Abstract Algebra. It's probably the clearest, easiest to understand text on abstract algebra. The text kind of falls off when you get to Galois Theory, but that's ok since you probably will never use Galois...
Unless the class is a Lecture/Lab or just Lab class (which usually means much more class/lab time than what you are normally given credit for) MOST courses require the same amount of "lecture time."
In the U.S., the quarter system (Fall-Winter-Spring 10 weeks of instruction + 1 finals week)...
Introduction to Partial Differential Equations and Applications I
The Theory of Differential Equations I - Essentially Nonlinear Dynamics and Chaos Theory
Analysis I
Linear Algebra I
Certianly Fraleigh is the clearest and most forgiving Abstract Algebra book out there (except the Galois THeory stuff, which could use some work). ANd while the "computation" and "concepts" problems are pretty easy, some of those Theory question are (at least to me) fairly difficult. I took an...
You calculus based physics book probably has a section on Modern Physics which will include material on QM which should be on your level. And you CAN determine your level of math, since you are reading a calculus text, then you are learning calculus, that's your level of math.
You still have...
Wow, can't agree anymore. I've danced around saying this by basically replying as quickly as possible to a lot "book rec" threads by saying: "Before someone starts recommending..." because I do find some silly recommendations.
I don't think people do it for the sake of misguiding people. I...